Which of the following functions is converge or diverge? +(-1)") n 1 n(In n)² n=1 8.

Q: The sequence (tanh n) converges to2 Select one: True O False

A: To find the convergence of sequence

Q: Ex. Show the seguence whose nth term is In (n*) an %3D converges. 5n

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Q: Determine the interval of convergence for F-)*"(x-2)" 6. Show all your work! n5" n=1

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Q: Σ n=1

A: Let the given series be: ∑n=1∞an where, an=3n(n+2)!n5

Q: 00 Σ n(Inn) n=2

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Q: a) Does f() -Σne" n=0 converge or diverge for r > 0? b) How do you know?

A: According to ratio test, if the limit L<1, then the series converges and if L>1, then the…

Q: oblem 3. Use the integral test to determine whether Y converges or diverges.

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Q: Decide whether the following converges or diverges. 1 En=1 Inn+n!/2 100

A: Given series is ∑n=1∞1lnn+n Let xn=lnn+n Now, for n≥1,  lnn<nn+lnn<2n12n<1n+lnn Let us…

Q: la) 을 In ? n=2 16) n=2

A: The solution of given problem is given as follows :

Q: a) Determine if Eº, absolutely converges, conditionally converges, or diverges. ´n=2 n-yn

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Q: Determine the rate of convergence of the sequence an = sin( as n + 00. A. O(1/n) B. O(n) OC.…

A: given sequence an=sin2n+3n2-5  to find the rate of convergence of sequence as n→∞

Q: Which one of the following methods always converges while finding the root of f(x)= 0.

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Q: The sequence an = n – vn+ lvn+3 converges to the limit

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Q: Determine whether each of the fo for convergence/divergence. (a) n +1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 n4 + sin“ n=1

A: To find that the given deries diverges or converges

Q: 8. 2) Find the interval of convergence for the powen (n+ 1): (x – 1 n=0

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Q: Is {3n/(3n-1)} n=1 to infinity, a convergent sequence in R with the usual metric dR(x,y) = abs(x-y)?

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Q: ? 4. Show that the sequence {fn}, where nx fn(x) = XER 1+n²x²⁹ is point-wise convergent but is not…

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Q: Which of the sequences {an} converge, andwhich diverge? Find the limit of each convergent sequence.…

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Q: Prove that sina de converges but not absolutely for 0 < p < 1. XP

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Q: The sequence (tanh n} converges to2 Select one: True O False

A: This sequence converges to 1.

Q: The interval of converge Use your own wo each step) that yo

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Q: O Find the interval of convergence for the following power seu * (x +3)"

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Q: Q1-) Determine whether the following functions are convergent or divergent: 1 1- En=1 ((3n-1)*/…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What are all of the values of x ,such that Σ.. (-1)" + 1 converges? (31)"

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Q: f(x) = S n=1 (7-2x)" 6n

A: Radius of convergence of the Power Series : Consider the power series                ∑n=1∞ an(x-a)n…

Q: +00 2n determine the interval of convergence of (-1)"+1 n3 + 2 n=1

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Q: Suppose that an+1 an →1 as n → ∞o. Find the radius of convergence. n=1 an(-1)"n 8"

A: It is provided that limn→∞an+1an=1. We need to determine the radius of convergence of…

Q: Show hat he following a sen) lun vergıs for any p> e (-1)" Σ nニ」 for whar value) of p is it…

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Q: Find the interval of convergence of E n(x – 8)" n=2

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Q: What are all of the values of x, such that converges?

A: We have to use GP sum Common Ratio.

Q: 2. Find the interval of convergence of En=1 n(n+1)

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Q: Which of the following is the interval of convergence in Question 3(a)? O (-4/7, 4/7] OI-7/4,7/4]…

A: Given query is to find the interval of convergence.

Q: Which of the following functions is converge or diverge? n +(-1)"- n

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Q: . Use the inegral test to show that =1 converges. 1+n2

A: To solve this question first we check derivative of function is negative for n&gt;0 and then we show…

Q: The sequence (tanh n) converges to2

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Q: By limit comparison test, O None of these O converges O converges and diverges O diverges

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Q: find the interval of convergence.

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Q: n sin"(n) :) has a convergent subsequence. Vn2+2n Show that (an) = (-

A: Consider the sequence an=nsinnnn2+2n We have to show that sequence an has a convergent subsequence.…

Q: n! Use the ratio test to determine whether E=1 converges or diverges.

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Q: Find the interval of convergence of this power serie (x+1)t

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Q: Find the interval of convergence for Σ 5 k?xk+1 ek+1

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Q: (-1)"+12nx" En=1 2 п+3 n°

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Q: that converges to a function on R ii)show n х 1=0n!

A: For this, we will use the Ratio Test, which can be written for a series ∑n=0∞an as: limn→∞ an+1 an…

Q: O Discuss the convergence of f,(x)=x + , on A =[0,00).

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Q: Q No 2: a) Discuss the convergence and divergence of (1+ a"), Va eR.

A: We have to divide it into several cases.

Q: The sequence an = n- -In+1vn +3 converges to the limit %3D A) -3 B) -1 C) 1 D) +2 E) -2

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Q: 7. Let f(x): Find the interval of convergence of f. (2n+1)!

A: Given series

Q: ∞ f(x) = L n=1 (7-2x)" Sn

A: